Classify the conclusion of the hypothesis test as a Type I error, a Type II erro

Question

Classify the conclusion of the hypothesis test as a Type I error, a Type II error, or a correct decision. 6. The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.2 parts per million (ppm). A consumer health group measured the level of the chemical in a random sample of tomatoes obtained from one producer to determine whether the mean level of the chemical in these tomatoes exceeds the recommended limit. The hypotheses are H_0: mu = 0.2 ppm H_a: mu > 0.2 ppm where mu is the mean level of the chemical in tomatoes from this producer. Suppose that the results of the sampling lead to nonrejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean level of the chemical in these tomatoes is greater than 0.2 ppm.

Explanation / Answer

The actual mean level of the chemical in the tomotoes is greater than 0.2 ppm and we led to the conclusion of non rejection of null hypothesis. That means we are not rejecting the null hypothesis when it is false which is a Type II error.

Hence,

We are making Type II error here.

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